Calculus of Variations and Geometric Measure Theory

A. Chambolle - V. Crismale

Equilibrium configurations for nonhomogeneous linearly elastic materials with surface discontinuities

created by crismale on 02 Jun 2020
modified on 06 May 2022


Accepted Paper

Inserted: 2 jun 2020
Last Updated: 6 may 2022

Journal: Ann. Sc. Norm. Super. Pisa Cl. Sci.
Year: 2020
Doi: 10.2422/2036-2145.202006_002

ArXiv: 2006.00480 PDF


We prove a compactness and semicontinuity result that applies to minimisation problems in nonhomogeneous linear elasticity under Dirichlet boundary conditions. This generalises a previous compactness theorem that we proved and employed to show existence of minimisers for the Dirichlet problem for the (homogeneous) Griffith energy.